ABSTRACT

This paper focuses on the convergence analysis for a patch structure Nicholson’s blowflies system involving an oscillating death rate and multiple different time-varying delays. By using inequality techniques and concise mathematical analysis proof, some sufficient criteria are established to guarantee the global exponential convergence of the zero equilibrium point for the addressed system. Our results are novel and supplement some existing ones. Furthermore, the effectiveness and feasibility of the obtained results are demonstrated by some numerical simulations.

中文翻译：

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涉及振荡死亡率的补丁结构 Nicholson 的苍蝇系统的收敛性分析

摘要

本文重点研究涉及振荡死亡率和多个不同时变延迟的补丁结构 Nicholson 的苍蝇系统的收敛性分析。通过使用不等式技术和简洁的数学分析证明，建立了一些充分的标准来保证所处理系统的零平衡点的全局指数收敛。我们的结果是新颖的，并补充了一些现有的结果。此外，通过一些数值模拟证明了所得结果的有效性和可行性。